We now consider an experiment on the torus: \({\mathcal {T}}^2 = {\mathcal {S}}^1 \times {\mathcal {S}}^1\) . The exponential map and intrinsic distance
required for RCPMs are known in closed-form.
The exponential map flows in
[1]} do not apply to this setting as their
\(c\) -concave layers are specific to the sphere.
